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Student Number 91622013 Author Hsiu-Chuan Kao(郭綉娟) Author's Email Address s1622013@cc.ncu.edu.tw Statistics This thesis had been viewed 2121 times. Download 1218 times. Department Graduate Institute of Geophysics Year 2003 Semester 2 Degree Master Type of Document Master's Thesis Language zh-TW.Big5 Chinese Title Parameter Estimation of Constant Head Test in the Unconfined Aquifer with Partially Penetrating Effect Date of Defense 2004-05-25 Page Count 93 Keyword heterogenous partially penetrating effect unconfined aquifer Abstract Transmissivity (T) values estimated using pumping test data normally vary with distance, suggesting the aquifer be heterogenous. However, we found that this result may be not so much due to the spatial variability of T as due to the data analysis method failing to account for field test conditions. Here, we use three different methods to analyze drawdown data produced from a constant-head pumping test in an unconfined till aquifer in Iowa. The saturated till thickness is about 2.5 meter. The water depth (the constant head) maintained in the pumping well was only 1.5 meter. There were four observation wells, and their maximum drawdown changes from 5.62% to 15.43% of the saturated thickness. Method I ignores the possible partial penetrating effect in the wells by assuming a fully penetrating condition for all the wells. The estimates of T vary relatively randomly, lacking a sound explanation. Method II assumes that the pumping well is partially penetrating while the observation wells are fully penetrating, and the spatial variability of the T estimates decreases. Method III takes into account the partial penetrating effect of the wells, and a constant T value is obtained using the drawdown data of all the observation wells. This constant T is also used to analyze drawdown data from a constant-rate test conducted in the same aquifer and the same wells. Considering the five observation wells are located within a short extent of 5 meters surrounding the pumping well, the T value being constant is plausible. For this particular case, it is thus concluded that the spatial variability of the estimates of T is an artifact due to the negligence of the partial penetrating effects of the pumping well and the observation wells. For the constant head data analysis, we develop a mathematical model which is suitable for the unconfined aquifer and involves four pertinent parameters; namely, the horizontal and the vertical hydraulic conductivity, the storage coefficient, and the specific yield. Table of Content 符號說明1

第一章 前言4

1.1研究目的8

第二章 理論模式推導11

2.1.1模式假設與邊界條件11

2.1.2模式的拉普拉斯區域解15

2.1.3滿足混合邊界條件18

2.1.4觀測井考慮部分貫穿效應20

2.2 Moench (1997)觀測井洩降之大時間近似解23

第三章 理論模式分析29

3.1數值驗證29

3.1.1模式驗證一：部分貫穿汲水29

3.1.2模式驗證二：非受壓含水層邊界條件31

3.2非受壓含水層定水頭部分貫穿汲水理論曲線分析34

3.3井流通量分析37

3.5觀測井考慮部分貫穿效應之理論曲線分析44

第四章 試驗場址背景45

4.1地質背景45

4.2井場背景介紹48

4.3抽水試驗洩降資料50

第五章 資料分析與參數推估58

5.1分析流程59

5.1.1大時間洩降修正59

5.1.2方法一：忽略部分貫穿效應59

5.1.3方法二：考慮抽水井部分貫穿效應61

5.1.4方法三：考慮觀測井部分貫穿效應67

5.2.1定水頭抽水試驗複合式參數推估方法之驗證69

5.2.2定流率抽水試驗參數推估之驗證72

5.2.3用數值方法解決水位落入井篩段之問題75

5.3參數推估討論78

5.4參數推估結論81

第六章 結論84

附錄一89

附錄二 定水頭儀器設備92Reference 參考文獻

Abramowitz, M., and I.A. Stegun, 1972, Handbook of Mathematical Functions, Dover Publications, Inc., New York, 1046

Boulton, N. S., 1955, Unsteady radial flow to a pumped well allowing for delayed yield from storage, in Gen. Assem. Rome, Tome II, Int. Assoc. Sci. Hydrol. Publ., 37, 472-477

Boulton, N. S., 1963, Analysis of data from non-equilibrium pumping tests allowing for delayed yield from storage, Proc. Inst. Civ. Eng., 26, 496-482

Bonnet, M., J. Forkasiewicz, and P. Peaudecerf, 1970, Methods d’inter-pretation de pompages d’essai en-nappe libre, Bur. Rech. Geol. Min. Rep. 70 SGN 359 HYD, Orleans, France.

Chen, C. S., mad C. C. Chang, 2003, Well hydraulics theory and data analysis for the constant head test in an unconfined aquifer with skin effect, Water Resour. Res., 39(5), 1121, doi: 10.1029/2002WR001516

Chen, C. S., and C. C. Chang, 2002, Use of cumulative volume of constant-head injection test to estimate aquifer parameters with skin effects: field experiment and data analysis, Water Resour. Res., 38(5), 10.1029/2001WR000300

Chang, C. C., and C. S. Chen, 2003, A flowing partially penetrating well in a finite-thickness aquifer: A mixed-type initial boundary value problem, J. Hydrol., 271/1-4, 101-118

Chang, C. C., and C. S. Chen,2002a, Field experiment and data analysis of a Constant-Head Injection Test with Skin Effects in a Low-Transmissivity Aquifer, TAO, 13(1), 15-38

Chang, C. C., and C. S. Chen, 2002b, An integral transform approach for a mixed boundary problem involving a flowing partially penetrating well with infinitesimal well skin, Water Resour. Res., 38(6), 10.1029/2001 WR001091

Cooper, H. H. and C. E. Jacob, 1946, A generalized graphical method for evaluating formation constants and summarizing well field history, Trans. Am. Geophys. Union 27 526-534

Domenico, P. A. and G. A. Robbins, 1984, A dispersion scale effect in model calibrations and field tracer experiments. J. Hydrol., 70, 123-132

Edwards, K. B., and L. C. Jones, 1993, Modeling pumping tests in weathered glacial till, J. Hydrol., 150(1), 41-60

Goode, D. J., 1997, Composite recovery type curves in normalized time from Theis’ exact solution. Ground Water, 35(4) 672-678

Jones, L., T. Lemar, and C.-T. Tsai, 1992, Results of two pumping tests in Wisconsin age weathered till in Iowa, Ground Water, 30(4), 529-538

Jones, L.,1993, A comparison of pumping and slug tests for estimating the hydraulic conductivity of unweathered Wisconsin age till in Iowa, Ground Water, 31(6), 896-904

Jacob, C. E., 1963, Determining the permeability of water table aquifers, U. S.Geol. Survey Water Supply Paper 1536-1,245-271

Moench, A. F., 1994, specific yield as determined by type-curve analysis of aquifer-test data. Ground Water, 32(6) 949-957

Moench, A. F., 1997, Flow to a well of finite diameter in a homogeneous, anisotropic water table aquifer, Water Resour. Res., 33(6), 1397-1407

Moench, A. F., 1995, Combining the Neuman and Boulton models for flow to a well in an unconfined aquifer, Ground Water, 33(3), 378-384

Moench A. F., P. G. Stephen and R. L. Denis, 2001, Estimation of Hydraulic Parameters from an Unconfined Aquifer Test Conducted in a Glacial Outwash Deposit, Cape Cod, Massachusetts. U. S. Geological Survey Professional Paper 1629.

Neuman, S. P., 1972, Theory of flow in unconfined aquifers considering delayed response of the water table, Water Resour. Res., 8(4), 1031-1044

Neuman, S. P., 1974, Effects of partial penetration on flow in unconfined aquifers considering delayed aquifer response, Water Resour. Res., 10(2), 303-312

Neuman, S. P., 1975, Analysis of pumping test data from anisotropic unconfined aquifers considering delayed gravity response, Water Resour. Res., 11(2), 329-342

Rice, J. B., 1998, Constant drawdown aquifer tests: an alternative to traditional constant rate tests, Ground Water Monit. R., 18(2), 76-78

Stehfest, H., 1970, Numerical inversion of Laplace transforms. Commun. ACM 13, 47-49

Stallman, R. W., 1971, Aquifer-test Design, Observation, and Data analysis, U.S. Geological Survey, Techniques of Water-Resources Investigations. Book 3, Chapter B1

Sneddon, I. N., 1972, The Use of Integral Transforms, McGraw-Hill, Inc., New York, 540

Theis, C. V., 1935, The relationship between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage. Eos Trans. AGU, 2, 519-524

van der Kamp, G., 2001, Methods for determining the in site hydraulic conductivity of shallow aquitards–an overview, Hydrogeology Journal, 9, 5-16

van der Kamp, G., 1985, Brief quantitative guidelines for the design and analysis of pumping tests. Hydrogeology in the Service of Man, Memoir of the 18th Congress of the International Assoc. of Hydrogeologists, Cambridge. Part 4, 197-206

Walton, W. C., 1970, Groundwater Resource Evaluation. McGraw-Hill, Inc., New York. 644.Advisor Chia-Shyun Chen(陳家洵)

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91622013.pdf Date of Submission 2004-06-14

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